San Diego. San Diego is a popular fall travel destination with average temperatures in the low to mid 70s. This oceanside city offers some of California's best year-round weather as it hardly gets any rain except for a few days between late November and February.
Given two parallel lines and a transversal, alternate interior angles are congruent. The key here is that you are told the two lines are parallel, and you have learned that the relationships between the angles created by the intersection of the transversal line and the two parallel lines. All of the above are true based on the two lines being parallel with a transversal line intersecting.
Two angles are said to be supplementary when the sum of the two angles is 180Â°. If we have two parallel lines and have a third line that crosses them as in the ficture below - the crossing line is called a transversal. When a transversal intersects with two parallel lines eight angles are produced. The eight angles will together form four pairs of corresponding angles. Angles 1 and 5 constitutes one of the pairs. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs e.g. 3 + 7, 4 + 8 and 2 + 6. Angles that are in the area between the parallel lines like angle 2 and 8 above are called interior angles whereas the angles that are on the outside of the two parallel lines like 1 and 6 are called exterior angles. Angles that are on the opposite sides of the transversal are called alternate angles e.g. 1 + 8. All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent. Example. The picture above shows two parallel lines with a transversal.